Point dipole and quadrupole scattering approximation to collectively responding resonator systems

We develop a theoretical formalism for collectively responding point scatterers where the radiating electromagnetic fields from each emitter are considered in the electric dipole, magnetic dipole, and electric quadrupole approximation. The contributions of the electric quadrupole moment to electroma...

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Bibliographic Details
Published in:Physical review. B 2017-07, Vol.96 (3), Article 035403
Main Authors: Watson, Derek W., Jenkins, Stewart D., Ruostekoski, Janne
Format: Article
Language:English
Subjects:
Approximation
Electric dipoles
Electromagnetic fields
Electromagnetism
Emitters
Magnetic dipoles
Mathematical analysis
Metamaterials
Quadrupole interaction
Quadrupoles
Radio frequency
Resonators
RLC circuits
Scattering
Strong interactions (field theory)
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Summary:We develop a theoretical formalism for collectively responding point scatterers where the radiating electromagnetic fields from each emitter are considered in the electric dipole, magnetic dipole, and electric quadrupole approximation. The contributions of the electric quadrupole moment to electromagnetically-mediated interactions between the scatterers are derived in detail for a system where each scatterer represents a linear RLC circuit resonator, representing common metamaterial resonators in radiofrequency, microwave, and optical regimes. The resulting theory includes a closed set of equations for an ensemble of discrete resonators that are radiatively coupled to each other by propagating electromagnetic fields, incorporating potentially strong interactions and recurrent scattering processes. The effective model is illustrated and tested for examples of pairs of interacting point electric dipoles, where each pair can be qualitatively replaced by a model point emitter with different multipole radiation moments.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.96.035403